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Transportation Network Stability: A Case Study Of City Transit

Author

Listed:
  • BERTRAND BERCHE

    (Statistical Physics Group, P2M Dpt, Institut Jean Lamour, Nancy Université, BP 70239, F-54506 Vandoeuvre les Nancy, France)

  • CHRISTIAN VON FERBER

    (Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, UK;
    Institut für Theoretische Physik II, Heintich-Heine Universität Düsseldorf, D-40225 Düsseldorf, Germany)

  • TARAS HOLOVATCH

    (Statistical Physics Group, P2M Dpt, Institut Jean Lamour, Nancy Université, BP 70239, F-54506 Vandoeuvre les Nancy, France;
    Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, UK)

  • YURIJ HOLOVATCH

    (Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

Abstract

The goals of this paper are to present criteria, that allow toa prioriquantify the attack stability of real world correlated networks of finite size and to check how these criteria correspond to analytic results available for infinite uncorrelated networks. As a case study, we consider public transportation networks (PTN) of several major cities of the world. To analyze their resilience against attacks, either the network nodes or edges are removed in specific sequences (attack scenarios). During each scenario the sizeS(c)of the largest remaining network component is observed as function of the removed sharecof nodes or edges. To quantify the PTN stability with respect to different attack scenarios we use the area below the curve described byS(c)forc ∈ [0, 1]recently introduced (Schneider, C. M.et al.[PNAS 108(2011) 3838]) as a numerical measure of network robustness. This measure captures the network reaction over the whole attack sequence. We present results of the analysis of PTN stability against node and link-targeted attacks.

Suggested Citation

  • Bertrand Berche & Christian Von Ferber & Taras Holovatch & Yurij Holovatch, 2012. "Transportation Network Stability: A Case Study Of City Transit," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 15(supp0), pages 1-19.
    • Handle: RePEc:wsi:acsxxx:v:15:y:2012:i:supp0:n:s0219525912500634
    DOI: 10.1142/S0219525912500634
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    Citations

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    Cited by:

    1. Bellè, Andrea & Zeng, Zhiguo & Duval, Carole & Sango, Marc & Barros, Anne, 2022. "Modeling and vulnerability analysis of interdependent railway and power networks: Application to British test systems," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    2. Iliopoulou, Christina & Makridis, Michail A., 2023. "Critical multi-link disruption identification for public transport networks: A multi-objective optimization framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    3. Zhang, Lin & Lu, Jian & Fu, Bai-bai & Li, Shu-bin, 2019. "A cascading failures model of weighted bus transit route network under route failure perspective considering link prediction effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1315-1330.
    4. Rybalova, E.V. & Strelkova, G.I. & Anishchenko, V.S., 2021. "Impact of sparse inter-layer coupling on the dynamics of a heterogeneous multilayer network of chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    5. Gu, Yu & Fu, Xiao & Liu, Zhiyuan & Xu, Xiangdong & Chen, Anthony, 2020. "Performance of transportation network under perturbations: Reliability, vulnerability, and resilience," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    6. Gopal R. Patil & B. K. Bhavathrathan, 2016. "Effect Of Traffic Demand Variation On Road Network Resilience," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 19(01n02), pages 1-18, February.
    7. Saberi, Meead & Ghamami, Mehrnaz & Gu, Yi & Shojaei, Mohammad Hossein (Sam) & Fishman, Elliot, 2018. "Understanding the impacts of a public transit disruption on bicycle sharing mobility patterns: A case of Tube strike in London," Journal of Transport Geography, Elsevier, vol. 66(C), pages 154-166.
    8. Lin Zhang & Jian Lu & Bai-bai Fu & Shu-bin Li, 2018. "A Review and Prospect for the Complexity and Resilience of Urban Public Transit Network Based on Complex Network Theory," Complexity, Hindawi, vol. 2018, pages 1-36, December.

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